Given numbers are 122,528,170,735,925

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 122,528,170,735,925 is 24817069200.

Find LCM of 122,528,170,735,925 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 5 x 61 x 88 x 17 x 49 x 185 = 24817069200

Therefore, the lowest common multiple of 122,528,170,735,925 is 24817069200.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

122 x 528 x 170 x 735 x 925 = 7445120760000

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

122 : 1, 2, 61, 122

528 : 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

170 : 1, 2, 5, 10, 17, 34, 85, 170

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

925 : 1, 5, 25, 37, 185, 925

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,528,170,735,925, is 1.

Now, the common factors can be found like this.

122:2x 61

528:2x 2x 2x 2x 3x 11

170:2x 5x 17

735:3x 5x 7x 7

925:5x 5x 37

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 3x 5x 5 = 300

Therefore, the value for common factors is 300.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 7445120760000/(1x300)

LCM = 7445120760000/300

LCM = 24817069200

Thus, we can understand that the LCM of 122,528,170,735,925 is 24817069200.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 891, 132, 204, 611, 385
• LCM of 774, 594, 782, 943, 773
• LCM of 384, 763, 279, 304, 629
• LCM of 161, 722, 139, 133, 967
• LCM of 728, 263, 194, 423, 259

1. What is the LCM of 122, 528, 170, 735, 925?

Answer: LCM of 122, 528, 170, 735, 925 is 24817069200.

2. How to calculate the LCM of 122, 528, 170, 735, 925?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 122, 528, 170, 735, 925.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.